Once the weapon is enhanced to 10/20/30/etc, you need to smelt it through Yoshitsune's Weapon Smelting with another same weapon or an artisan's sword. Make sure you untick favorite when smelting for it to appear on the list.

I'm not sure, but it seems the other versions do eventually get what the PC version got previously. Right now it's halloween event and luna event. Reminds me of all that dungeon runs with the high magatama drop reward.